Theorems · Theorem · group theory
Equiv.Perm.isMultiplyPretransitive
∀ (α : Type u_1) (n : ℕ), MulAction.IsMultiplyPretransitive (Equiv.Perm α) α n
The permutation group Equiv.Perm α acts n-pretransitively on α for all n.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equiv.Permstatement · cited by 1,375
- MulAction.IsMultiplyPretransitivestatement · cited by 33
- Equiv.Perm.exists_smul_eq_embeddingproof · cited by 1
- MulAction.isMultiplyPretransitive_iffproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- alternatingGroup.isMultiplyPretransitiveproof · cited by 4
- Set.powersetCard.isPretransitiveproof · cited by 1
- Equiv.Perm.isCoatom_stabilizer_of_ncard_lt_ncard_complproof · cited by 1
- Equiv.Perm.isMultiplyPretransitive_of_nontrivialproof · cited by 0